Papers › Outerplanar graphs with positive Lin-Lu-Yau curvature
Outerplanar graphs with positive Lin-Lu-Yau curvature
George Brooks, Fadekemi Osaye, Anna Schenfisch, Zhiyu Wang, Jing Yu
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In this paper, we show that all simple outerplanar graphs G with minimum degree at least $2$ and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most $9$. Furthermore, if G is maximally outerplanar, then G has at most $10$ vertices. Both upper bounds are sharp.
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